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102808920 = 23352333677
BaseRepresentation
bin1100010000010…
…11110101011000
321011110020022210
412020023311120
5202304341140
614111315120
72355601314
oct610136530
9234406283
10102808920
115303a955
122a51baa0
13183b81a6
14d922b44
15905bd80
hex620bd58

102808920 has 64 divisors (see below), whose sum is σ = 309834720. Its totient is φ = 27290624.

The previous prime is 102808897. The next prime is 102808939. The reversal of 102808920 is 29808201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26122 + ... + 29798.

Almost surely, 2102808920 is an apocalyptic number.

102808920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154917360).

102808920 is an abundant number, since it is smaller than the sum of its proper divisors (207025800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102808920 is a wasteful number, since it uses less digits than its factorization.

102808920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 102808920 is about 10139.4733591050. The cubic root of 102808920 is about 468.4647658481.

The spelling of 102808920 in words is "one hundred two million, eight hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1864 2330 2796 3495 3677 4660 5592 6990 7354 9320 11031 13980 14708 18385 22062 27960 29416 36770 44124 55155 73540 88248 110310 147080 220620 441240 856741 1713482 2570223 3426964 4283705 5140446 6853928 8567410 10280892 12851115 17134820 20561784 25702230 34269640 51404460 102808920